Writing Equations from Graphs

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line from a graph?

Back

The slope of a line can be found by selecting two points on the line and using the formula: slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

How can you determine the y-intercept from a graph?

Back

The y-intercept can be determined by locating the point where the line crosses the y-axis.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation of the line is y = -2x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given two points?

Back

To write the equation of a line given two points, first calculate the slope using the two points, then use one of the points and the slope to write the equation in point-slope form, and convert it to slope-intercept form if needed.